Finite element steady-state solutions of the traveling magnetic field problem

1983 ◽  
Vol 19 (4) ◽  
pp. 1524-1529 ◽  
Author(s):  
M. Ikeuchi ◽  
H. Niki ◽  
H. Kobayashi
1984 ◽  
Vol 2 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Hiroyuki Murakami ◽  
Takayuki Aoki ◽  
Shigeo Kawata ◽  
Keishiro Niu

Rotating motion of a propagating LIB is analyzed in order to suppress the mixed mode of the Kelvin-Helmholtz instability, the tearing instability and the sausage instability by the action of a self-induced magnetic field in the axial direction. The beams are assumed to be charge-neutralized but not current-neutralized. The steady-state solutions of a propagating LIB with rotation are first obtained numerically. Through the dispersion relation with respect to the ikonal type of perturbations, which are added to the steady-state solutions, the growth rates of instabilities appearing in an LIB are obtained. It is concluded that if the mean rotating velocity of an LIB is comparable to the propagation velocity, in other words, if the induced magnetic field intensity in the axial direction is comparable to the magnetic field intensity in the azimuthal direction, the instability disappears in the propagating ion beam.


2011 ◽  
Vol 47 (5) ◽  
pp. 1194-1197 ◽  
Author(s):  
Satoshi Tamitani ◽  
Tomoaki Takamatsu ◽  
Asuka Otake ◽  
Shinji Wakao ◽  
Akihisa Kameari ◽  
...  

1981 ◽  
Vol 26 (3) ◽  
pp. 441-453 ◽  
Author(s):  
Ieuan R. Jones ◽  
Waheed N. Hugrass

The penetration of an externally applied rotating magnetic field into a plasma cylinder is examined. Steady-state solutions of an appropriate set of magneto-fluid equations show that, provided the amplitude and rotation frequency of the field are suitably chosen, the penetration is not limited by the usual classical skin effect. The enhanced penetration of the rotating field is accompanied by the generation of a unidirectional azimuthal electron current which is totally absent in a purely resistive plasma cylinder.


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